10713502800 has 960 divisors, whose sum is σ = 51250053120. Its totient is φ = 2052864000.

The previous prime is 10713502783. The next prime is 10713502819. The reversal of 10713502800 is 820531701.

10713502800 is a `hidden beast` number, since 10 + 71 + 3 + 502 + 80 + 0 = 666.

It is a super-2 number, since 2×10713502800² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10810305 + ... + 10811295.

It is an arithmetic number, because the mean of its divisors is an integer number (53385472).

Almost surely, 2^10713502800 is an apocalyptic number.

10713502800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10713502800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25625026560).

10713502800 is an abundant number, since it is smaller than the sum of its proper divisors (40536550320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10713502800 is a wasteful number, since it uses less digits than its factorization.

10713502800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1049 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The spelling of 10713502800 in words is "ten billion, seven hundred thirteen million, five hundred two thousand, eight hundred".